Journal ArticleDOI
Symbolic manipulation and computational fluid dynamics
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TLDR
A symbol manipulation program in VAXIMA is written that has as input the formula for the given differential equation in some natural coordinates and has as output the required FORTRAN subroutines that will tabulate the coefficients of these differential equations using the tabulated coordinate transformation.About:
This article is published in Journal of Computational Physics.The article was published on 1985-01-30. It has received 112 citations till now. The article focuses on the topics: Differential equation & Boundary value problem.read more
Citations
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Quantification of uncertainty in computational fluid dynamics
TL;DR: This review covers Verification, Validation, Confirmation and related subjects for computational fluid dynamics (CFD), including error taxonomies, error estimation and banding, convergence rates, surrogate estimators, nonlinear dynamics, and error estimation for grid adaptation vs Quantification of Uncertainty.
Book
Verification and Validation in Scientific Computing
TL;DR: A comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations that are described by partial differential and integral equations and the simulations that result from their numerical solution.
Journal ArticleDOI
Verification and Validation in Computational Fluid Dynamics
TL;DR: An extensive review of the literature in V&V in computational fluid dynamics (CFD) is presented, methods and procedures for assessing V &V are discussed, and a relatively new procedure for estimating experimental uncertainty is given that has proven more effective at estimating random and correlated bias errors in wind-tunnel experiments than traditional methods.
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Verification, Validation, and Predictive Capability in Computational Engineering and Physics
TL;DR: Verification and validation of computational simulations are the primary methods for building and quantifying this confidence in modeling and simulation.
Journal ArticleDOI
Code Verification by the Method of Manufactured Solutions
TL;DR: The Method of Manufactured Solutions (MMS) provides a straightforward and quite general procedure for generating such solutions that produces strong Code Verifications with a theorem-like quality and a clearly defined completion point.
References
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Journal ArticleDOI
Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
TL;DR: In this paper, a method for automatic numerical generation of a general curvilinear coordinate system with coordinate lines coincident with all boundaries of general multi-connected regions containing any number of arbitrarily shaped bodies is presented.
Journal ArticleDOI
Adaptive zoning for singular problems in two dimensions
Jeremiah Brackbill,Jeff Saltzman +1 more
TL;DR: In this article, the authors extend Winslow's method for the automatic generation of computation meshes to adaptively vary the zone sizes and orthogonality of grid lines in the resulting mesh.
Journal ArticleDOI
A multi-surface method of coordinate generation
TL;DR: In this paper, a multidimensional method of coordinate generation has been developed to match boundaries with coordinate surfaces and to control the manner in which other coordinate surfaces leave the boundaries, which is referred to as a multi-surface method.
Transformation of three-dimensional regions onto rectangular regions by elliptic systems. [applied to potential flow
C. W. Mastin,J. F. Thompson +1 more
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Transformation of three-dimensional regions onto rectangular regions by elliptic systems
C. Wayne Mastin,Joe F. Thompson +1 more
TL;DR: In this article, a transformation method is developed which may be used to solve various types of boundary value problems on three-dimensional regions with an arbitrary boundary, and the implementation of the method is illustrated in the solution of a potential flow problem.